Principles of Foundation Engineering, SI Edition
8th Edition
ISBN: 9781305446298
Author: Braja M. Das
Publisher: Cengage Learning US
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Chapter 7, Problem 7.4P
To determine
Find the value of elastic settlement of the foundation.
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Figure 5.16 shows a foundation of 6.25 ft x 10ft resting on a sand deposit. The net load per unit area at
the level of the foundation, qo, is 3000 lb/ft. For the sand, u, =0.3, E, = 3200 lb/in', Dr= 2.5 ft and H=
32 ft. Assume that the foundation is rigid, and determine the elastic settlement the foundation would
undergo. Use Eqs. (5.33) and (5.41); note that these equations are in the class note posted on the
Blackboard.
Eq (5.33) = Se=20(aB').-us
Foundation B XL
Es
2o= net applied pressuve on fandadien
Ms = Poisson's ratio of soil
Es = average modulus of elaslisity.
B= B½ fer centr of feundatien
Rigid
foundation
settlement
Plexible
foundation
settlement
Is = shape facker
A Poisson's ratio
E, - Modulus of elasticity
Eq (5.41)
= Secrigid)0.93 Secflekible, center)
Soil
Rock
Figure 5.16
In the figure, the rectangular foundation is loaded with a uniform load of 225 kPa. Accordingly, calculate the vertical stress increase 10 m below point A.
ELABORATE
Try solving the following problem:
Practice Problem: A rigid foundation is subjected to a
vertical column load, P = 550 kN, as shown in Figure 4.9.
Estimate the elastic settlement due to the net applied
pressure, Ao, at the center of the foundation. Given: B = 2
m; L = 3 m; Df = 1.5 m; H = 5 m; Es = 13,500 kN/m²; and μs =
0.5.
SAP
Foundation
BXL
D
Soil
H, Poisson's ratio.
E₂ -modulus of elasticity H
Rock
Figure 4.9
Ag
Cengage Leaming 2014
Chapter 7 Solutions
Principles of Foundation Engineering, SI Edition
Ch. 7 - Prob. 7.1PCh. 7 - A planned flexible load area (see Figure P7.2) is...Ch. 7 - Prob. 7.3PCh. 7 - Prob. 7.4PCh. 7 - Prob. 7.5PCh. 7 - Prob. 7.6PCh. 7 - Prob. 7.7PCh. 7 - Prob. 7.8PCh. 7 - Solve Problem 7.8 using Eq. (7.29). Ignore the...Ch. 7 - A continuous foundation on a deposit of sand layer...
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Similar questions
- Exercise 4.2 The plan of a foundation is given in Fig. 1. The uniform pressure on the soil is 40 kPa. Determine the vertical stress increment due to the foundation at a depth of 5 m below the point X 3 m 3 m 3 m 2 m 1.5 m 2 m 0.5 mt soil mechanicsarrow_forwardA foundation carries uniform loads as shown. Determine the value of w (in kN/m). 円円 w(ki/m)arrow_forwardQ1.1// The figure below shows the plan of a rectangular raft foundation which supports a total load of 40500 kN. The foundation is located at 3 m from the surface. Evaluate the increase in the effective stress at a point 8 m below the surface and having x, y coordinates as (-9, -6.5) with respect to the central axis of the footing. X 15 m w 6arrow_forward
- Civil Engineering 3. For the foundation shown in the figure, estimate the elastic settlement of the foundation using the strain influence factor method 15 years after construction. o1=又 pcf 10 x 10` 5 sand E=750 psi Y=l1opef 7.5 sand E-1200psi Y=120 pcf Sand E=1400psi Jalls pcfarrow_forwardQ-1) Determine the immediate settlement of the foundation shown in Figure (1). The undrained elastic modulus varies with depth, as shown in the figure, and v₁ = = 0.45. [Answer = 26 mm]. LETETEI 2L = 12 m -8 m -4m +3m+5m 5000 kN Į Layer 1 Layer 2 6 m 2B = 10 m 4 m 4 m 8m Figure (1) 4000 kPa 8000 kPa Eu 10,000 kPa 30,000 kPaarrow_forwardIn modeling a nonrigid mat foundation by using elastic springs, should a uniformmodulus of subgrade reaction be used along the whole base of mat?arrow_forward
- A rectangle pad footing with dimension bx1 = 2mx2m is subjected to axial loading N^tt = 600 kN. Foundation are constructed on ground surface shown as Figure 1. The water table is at -1.5m. The average unit weight of mass between soil and concrete above of the bottom foundation is given tb = 22 kN/m3. The results of the test of the relationship between the pressure and void ratio is shown in table. Load factor n is given n = 1.15.arrow_forwardH.W 2.pdf > H.Q 6 A flexible foundation measuring 1.5 m x 3 m is supported by a saturated clay. Given: Dr = 1.2 m, H = 3 m, Es (clay)= 600 kN/m2, and qo = 150 kN/m?. Determine the average elastic settlement of the foundation. H.O 7 Figure 7.3 shows a foundation of 10 ft x 6.25 ft resting on a sand deposit. The net load per unit area at the level of the foundation, qo, is 3000 Ib/ft?. For the sand, u, = 0.3, Es = 3200 Ib/in?, Df = 2.5 ft, and H = 32 ft. Assume that the foundation is rigid and determine the elastic settlement the foundation would undergo. H.O 8 Determine the net ultimate bearing capacity of mat foundations with the following characteristics: c, = 2500 Ib/ft, = 0, B = 20 ft, L = 30 ft, D, = 6.2 ft Foundation Engineering I H.W 2 H.O 9 A 20-m-long concrete pile is shown in Figure below. Estimate the ultimate point load Q, by a. Meyerhof's method b. Coyle and Castello's method Concrete pile 460 mm x 460 mm Loose sand 20m y I86 ANi Dee s H.O 10 A concrete pile 20 m long…arrow_forwardA vertical column load, P = 600 kN, is applied to a rigid square concrete foundation. The foundation rests at a depth Df= 0.75 m on a uniform dense sand with the following properties: average modulus of elasticity, Es = 20,600 kN/m², and Poisson's ratio, µs = 0.3. Calculate the required foundation dimensions if the allowable settlement under the center of the foundation is 25mm. 600 kN Foundation 0.75 m Вхв Soil Hs = 0.3 E, = 20, 600 kN/m² 5.0 m Rockarrow_forward
- Solve Problem 7.8 using Eq. (7.29). Ignore the post-construction settlement. 7.8 Solve Problem 7.4 with Eq. (7.20). Ignore the correction factor for creep. For the unit weight of soil, use γ = 115 lb/ft3. 7.4 Figure 7.3 shows a foundation of 10 ft × 6.25 ft resting on a sand deposit. The net load per unit area at the level of the foundation, qo, is 3000 lb/ft2. For the sand, μs = 0.3, Es = 3200 lb/in.2, Df = 2.5 ft, and H = 32 ft. Assume that the foundation is rigid and determine the elastic settlement the foundation would undergo. Use Eqs. (7.4) and (7.12).arrow_forwardTwo foundations are located next to each other as follows. Determine the stress increase on a horizontal plane (i.e. - the increase in vertical stress) beneath Point A at a depth of 3 m below the ground surface. The foundations are bearing on the ground surface. 3 m- +2.5 m -6 m 5 m A O= 90 kPa = 120 kPa 6 marrow_forwardA rigid foundation is subjected to a vertical column load, P = 355 kN, as shown in Figure 11.43. Estimate the elastic settlement due to the net applied pressure, Ao, on the foundation. Given: B = 2 m; L = 3 m; D, = 1.5 m; H = 4 m; E, = 13,500 kN/m²; and µ, = 0.4. Foundation Δσ Dr Soil Hg = Poisson's ratio E, modulus of elasticity H %3D Rock O Cengage Leaming 2014arrow_forward
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